Question

The input voltage from a generator plant into a transformer is 16000 V. If the output voltage from the transformer to HV transmission lines is 3640,000 V, What would be the ratio of secondary: primary turns in this step up transformer?​

Answer 1

Answer:

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Answer 2

$\huge\underline\blue{\textbf{Required Answer :-}}$

$\huge\underline\green{\textbf{Transformer :-}}$

Transformers are electrical devices used to convert the voltage from the primary side to the appropriate voltage of secondary side. It can be done by using different number of coils for both sides. The relationship between the number of turns and the voltages is described by the formula:

T = $\frac{V_{p}}{V_{s}} = \frac{N_{p}}{N_{s}}$        ______ Equation ➊

Where,

T is the turn ratio.

${N_{p}}$ is the number of turns in the primary side.

${N_{s}}$ is the number of turns in the secondary side.

${V_{p}}$ is voltage in the primary side.

${V_{s}}$ is voltage in the secondary side.

$\small\underline\green{\textbf{Given :-}}$

${V_{p}}$ = 16000 V     ______ Equation ➋

${V_{s}}$ = 3640000 V   ______ Equation ➌

$\small\underline\pink{\textbf{To find :-}}$

The ratio of the secondary turns to the primary turns, i.e. 

${T_{s}}$ : ${T_{p}}$

$\small\underline\orange{\textbf{Solution :-}}$

 Remember Equation ➊, i.e.

$\frac{V_{p}}{V_{s}} = \frac{N_{p}}{N_{s}}$

:⟹ Ratio of ${V_{p}}$ and ${V_{s}}$ = Ratio of ${N_{p}}$ to ${N_{s}}$

where,

      ${N_{p}}$ is the total number of primary turns.

      ${N_{s}}$ is the total number of secondary turns.

 ➣Now, using Equation ➋ & ➌ in ➊,

Ratio of Ratio of ${N_{p}}$ to ${N_{s}}$ = $\frac{16000}{3640000} = \frac{2}{455}$

➣Now, by reversing the resulting fraction, we will get the ratio of secondary to primary turns in this step up transformer, i.e. 455 : 2.

$\green{\textbf{Therefore, the required ratio is 455 : 2.}}$

$\huge\underline\pink{\textbf{Hope it helps}}$